Mathematics Past Questions and Answers

A rectangular hexagon is constructed inside a circle of diameter \(12 cm\). calculate the area of the hexagon.

If the three consecutive terms of a GP are \(n-2, n\) and \(n+3\), find the common ratio.

In a triangle \(ABC\), if the \(AB =15 cm\) and angle \(ABC =45^{\circ}\) while angle \(ACB =60^{\circ}\), find the length of line \(AC\)

Find the derivative of the function \(y=x^{2}(4 x+3)\) at the point \(x=2\)

A regular polygon has each of it angles as \(160^{\circ}\). What is the number of sides of the polygon?